1051000500564 has 144 divisors (see below), whose sum is σ = 3049856409600. Its totient is φ = 298940459328.

The previous prime is 1051000500503. The next prime is 1051000500653. The reversal of 1051000500564 is 4650050001501.

It is a happy number.

1051000500564 is a `hidden beast` number, since 1 + 0 + 5 + 100 + 0 + 500 + 56 + 4 = 666.

It is a super-2 number, since 2×1051000500564² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54904507 + ... + 54923645.

It is an arithmetic number, because the mean of its divisors is an integer number (21179558400).

Almost surely, 2^{1051000500564} is an apocalyptic number.

1051000500564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1051000500564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524928204800).

1051000500564 is an abundant number, since it is smaller than the sum of its proper divisors (1998855909036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1051000500564 is a wasteful number, since it uses less digits than its factorization.

1051000500564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20122 (or 20117 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 1051000500564 in words is "one trillion, fifty-one billion, five hundred thousand, five hundred sixty-four".